TSTP Solution File: GRP547-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP547-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:31:20 EDT 2024
% Result : Unsatisfiable 1.46s 0.54s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5503,plain,
$false,
inference(trivial_inequality_removal,[],[f5461]) ).
fof(f5461,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f2822]) ).
fof(f2822,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f2821,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f2821,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,divide(identity,multiply(X1,X2))),
inference(forward_demodulation,[],[f2756,f393]) ).
fof(f393,plain,
! [X2,X0,X1] : divide(X2,multiply(X0,X1)) = divide(divide(X2,X1),X0),
inference(superposition,[],[f161,f154]) ).
fof(f154,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f153,f106]) ).
fof(f106,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f71,f2]) ).
fof(f71,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f48,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f48,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f38,f4]) ).
fof(f38,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f153,plain,
! [X0,X1] : multiply(identity,X1) = divide(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f142,f2]) ).
fof(f142,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = divide(identity,divide(identity,X1)),
inference(superposition,[],[f88,f2]) ).
fof(f88,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(X0,X1),X0),
inference(forward_demodulation,[],[f75,f51]) ).
fof(f51,plain,
! [X1] : divide(X1,identity) = X1,
inference(forward_demodulation,[],[f46,f48]) ).
fof(f46,plain,
! [X0,X1] : divide(divide(identity,divide(divide(X0,X1),X0)),identity) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f75,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = divide(identity,divide(X1,identity)),
inference(superposition,[],[f48,f48]) ).
fof(f161,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(backward_demodulation,[],[f54,f143]) ).
fof(f143,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f88,f114]) ).
fof(f114,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f53,f106]) ).
fof(f53,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f41,f51]) ).
fof(f41,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(divide(X0,X1),identity)) = X1,
inference(superposition,[],[f1,f2]) ).
fof(f54,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(X1,X2),X0)),X2),
inference(backward_demodulation,[],[f45,f51]) ).
fof(f45,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(divide(X1,X2),X0),identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f2756,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,divide(divide(identity,X2),X1)),
inference(superposition,[],[f422,f2]) ).
fof(f422,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f389,f2]) ).
fof(f389,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(divide(X2,divide(identity,X1)),X0),
inference(superposition,[],[f161,f88]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP547-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 04:45:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (15361)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (15364)WARNING: value z3 for option sas not known
% 0.13/0.36 % (15364)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (15362)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (15363)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (15365)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (15367)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (15368)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (15366)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [5]
% 0.20/0.41 TRYING [6]
% 0.20/0.45 TRYING [5]
% 0.20/0.48 TRYING [7]
% 1.46/0.54 % (15367)First to succeed.
% 1.46/0.54 % (15367)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15361"
% 1.46/0.54 % (15367)Refutation found. Thanks to Tanya!
% 1.46/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.54 % (15367)------------------------------
% 1.46/0.54 % (15367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.54 % (15367)Termination reason: Refutation
% 1.46/0.54
% 1.46/0.54 % (15367)Memory used [KB]: 4436
% 1.46/0.54 % (15367)Time elapsed: 0.178 s
% 1.46/0.54 % (15367)Instructions burned: 410 (million)
% 1.46/0.54 % (15361)Success in time 0.182 s
%------------------------------------------------------------------------------